Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π = [tex]\frac{22}{7}[/tex]
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × [tex]\frac{22}{7}[/tex] × (3.5)²
48 = Ф/360 × [tex]\frac{22}{7}[/tex] ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
What is the last step when finding the area of a compound shape?
Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.
Meredith has two different-sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains 6.8 ounces of trail mix. Which bag contains more trail mix? Why?
Answer:
The smaller bag
Step-by-step explanation:
The smaller bag contains more trail mix.
This is because the quantity of trail mix in the smaller bag (6.8 ounces) is more than that in the larger bag (6.18 ounces).
This makes sense because we are not told the capacities of the bags, so, it is possible that both bags are able to contain much more than 6.8 ounces.
Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!
Answer:
137
Step-by-step explanation:
The degrees of the inscribed arc of 43 is 43 * 2 = 86
Since the total degrees in a circle is 360, x is equal to
(360-86)/2 = 137
Answer:
x = 137
Step-by-step explanation:
opposite angles are supplementary when they are in a quadrilateral inscribed in a circle
43+x = 180
Subtract 43 from each side
x =180-43
x=137
WILL GIVE BRAINLIEST 5TH GRADE ASAP PLS HELP
what is 2sqrt(5)
Answer:
The answer is (rounded) 4.47213
Step-by-step explanation:
Have a nice day!
Answer:
The correct choice is 4.47213
Step-by-step explanation:
Is the relation a function? Why or why not?
{(-8, -4).(-2, 0), (1, 3).(-2.6)}
Answer:
No it's not a function. (-2, 0) and (-2, 6) don't pass the vertical line test.
Step-by-step explanation:
Solve the inequality.
Answer:
the first one, v < 1 23/25
Step-by-step explanation:
multiply both sides by 6 and divide by 5
v < 48/25, or v < 1 23/25
Answer:
v < 1 23/25
Step-by-step explanation:
5/6 v < 8/5
Multiply each side by 6/5
6/5*5/6 v < 8/5*6/5
v < 48/25
Rewrite as a mixed number
v < 1 23/25
Probability Race game
Read the whole thing even the scenario
Question 2: Why is picking horse 1 a really bad idea? What is its probability of winning?
Answer:
P(1) = 0
Step-by-step explanation:
The sum of 1 is impossible so that horse will never get to move
The probability of winning is zero
Answer:
p(1) = 0
Step-by-step explanation:
The horse can't move at all (why it's a bad idea)
The probability of winning is 0
Hope this helps!
On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0), a focus at (0, 1.5) and a directrix at y = negative 1.5. Which equation represents the parabola shown on the graph? y2 = 1.5x x2 = 1.5y y2 = 6x x2 = 6y
Answer:
d) The equation of the standard parabola
x² = 6 y
Step-by-step explanation:
The given directrix is y= -31.5
The equation of the parabola is of the form x² =4 a y
Given focus (0,1.5) , Here a= 1.5
The equation of the standard parabola
x² = 4 a y
x² = 4 (1.5)y
x² = 6 y
Conclusion:-
The equation of the standard parabola
x² = 6 y
The equation that represents the parabola shown on the graph is x∧2 = 6 y
What is a parabola?
A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.
The graph shows a vertical parabola opened upwards with the vertex at the origin.
How to determine the equation
The equation of the parabola from the graph is;
x∧2 = 4ay
The equation of the directrix;
y = -a = -1. 5
Thus, the value of a = 1.5
Then, substitute the value of a = 1.5 in the equation deduced from the graph
x∧2 = 4 × (1.5) × y
x∧2 = 6 y
Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y
Learn more on parabola here:
https://brainly.com/question/4061870
#SPJ2
HELP ASAP!! What is the output value for the following function, f(x) = 5x - 2 if the input value is 3?
A. 17
B.51
C. 13
D. 1
Please helpp!
Answer:
C) 13
Step-by-step explanation:
f(x) = 5x -2
f(3) = 5(3) -2
f(3) = 15 - 2
f(3l) = 13
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
it is two i think. hope i could help
It’s a time card calculation question
Answer:
Step-by-step explanation: idk ok 1-2 is idk
Please help! Correct answer only!
For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
$ 3.60 ; Type in 3.60
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]
Solution ; " Expected Payoff " ⇒ $ 3.60
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
[tex]y = \frac{5}{2} x^{2}[/tex]
Step-by-step explanation:
When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.
For example, say you have [tex]y = 8x^{2}[/tex]. That means that [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.
I hope this helps!
I need help ASAP I shall give brainlyist (idk how to spell it)
Answer:
3014.4ft³
Step-by-step explanation:
V=Πr²h(volume of cylinder)
=(3.14)(8)²(15)
=3014.4ft³
in fantasy football, Real Performance statistics from actual players are used to generate mock scores for Imaginary teams and virtual games. What kind of data source is this?
Answer:
[tex]\fbox{\begin{minipage}{8em}Option B: Survey\end{minipage}}[/tex]
Step-by-step explanation:
The data is collected from actual players, from real world, not simulation.
=> Option A-Simulation is incorrect.
The data is all collected subjectively from actual players, and has not been manipulated purposely, like in an experiment, yet.
=> Option C-Experiment is incorrect.
The data is collected subjectively and used directly to generate mock scores without any manipulation.
The data can be considered the results of survey.
=> Option B-Survey is correct
Hope this helps!
:)
Answer: Simulation
Step-by-step explanation:
I took the quiz
5^4=625 in log form pls.
Answer:4log5=4log5
Step-by-step explanation:
Take the log of both sides
log5^4 =log 625
By log log a^b=b loga
4log 5=log5^4
4log5 =4log 5
Expressions and equations can be written in logarithmic forms.
The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]
The equation is given as:
[tex]5^4 = 625[/tex]
Take the logarithm of both sides of the equation
[tex]\log(5^4) = \log(625)[/tex]
Apply law of logarithm
[tex]4\log(5) = \log(625)[/tex]
Divide both sides of the equation by log(5)
[tex]4 = \frac{\log(625)}{\log(5)}[/tex]
Apply change of base law of logarithm
[tex]4 = \log_5(625)[/tex]
Rewrite the equation as follows:
[tex]\log_5(625) = 4[/tex]
Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]
Read more about logarithms at:
https://brainly.com/question/7988782
Ryan got $25 for his birthday. His dad told him not to spend it all in one place, so he wants to divide it up evenly between 5 candy stores. How much money can Ryan spend in each store, if he spends all of his birthday money?
Answer:
5
Step-by-step explanation:
When you divide 25/5 the answer is 5 dollars per store
Answer:
5
Step-by-step explanation:
25 divided by 5 is 5
he spends 5 in each store
15. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is....
C) -1
D) -2
A and B where wrong. 15 points for whomever answers correctly
Answer:
The answer is C.
Step-by-step explanation:
Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :
[tex]2x + y = 9[/tex]
Let x = 5,
Let y = k,
[tex]2(5) + k = 9[/tex]
[tex]10 + k = 9[/tex]
[tex]k = 9 - 10[/tex]
[tex]k = - 1[/tex]
I will give you brainliest !!! The graph of y=8x+7 is:
Answer:
C
Step-by-step explanation:
A line that shows all solutions
the area that lies between Z= - 0.42 and Z= 0.42 is
Answer:
the answer is 0.84
Step-by-step explanation:
assume the two numbers are on a number line and take the absolute value of their difference
Please help! Correct answer only!
In a raffle, one ticket out of 250 will win a $230 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$__
Answer:
$0.92
Step-by-step explanation:
Since only one ticket out of the 250 wins a 230 dollar prize, the expected payoff is 230/250=0.92. Hope this helps!
Brainliest?????! Answer ASAP!
Answer:
12
Step-by-step explanation:
12
Which inequality matches the graph?
A.−3x + 2y > 7
B.3x − 2y < 7
C.−2x + 3y > 7
D.2x − 3y < 7
Predecessor and successor of 999
If (x - 1)/x = 20, then x =
O a. -21
O b.-19
c. -1/19
O d.-1/21
Answer:
-1/19 = x
Step-by-step explanation:
(x - 1)/x = 20
Multiply each side by x
(x - 1)/x *x = 20*x
x-1 = 20x
Subtract x from each side
x-1-x = 20x-x
-1 = 19x
Divide each side by 19
-1/19 = x
Which of the following is not true if the polygon is a square?
O A. slopers. slopesc = -1, slope slopesc = -1, sloped slope = -1,
and slope AB
• Slopezd = -1
B. The slopes of the adjacent line segments are equal.
O C. AB = BC = CD = AD
O D. slopezp=slopego
Answer:
the slopes of the adjacent line segments are equal......
Step-by-step explanation:
hope it's helpful
The upper and lower quartiles are the _______________ of each half of the data.
A. mean
B. mode
C. median
D. none of the above
Answer:
A..... I guess the answer must be A
point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be
point M is the midpoint off point A and point B
Answer: B = (1,-9)
Step-by-step explanation:
[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]
Answer:
the answer is b
Step-by-step explanation:
A middle school took all of its
six grade students on a field trip to see a ballet at the theater that has 1000 seats the students for the 45% of the seats in the theater how many six graders went on a trip ?
HURRRYYYYYYY
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 4.
A).1/4
B).1/3
C).1/2
D).2/3
Answer:
(C) ¹/₂
Step-by-step explanation:
Given;
A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6
The probability of rolling a number less than 4 = 3, 2, 1
The probability of rolling 3, P(3) = ¹/₆
The probability of rolling 2, P(2) = ¹/₆
The probability of rolling 1, P(1) = ¹/₆
Probability of rolling a number less than = P(3) or P(2) or P(1)
= ¹/₆ + ¹/₆ + ¹/₆
= ³/₆
= ¹/₂
Therefore, the probability of rolling a number less than 4 is ¹/₂
Option (C) ¹/₂
